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Finding the Fourth Proportional to 137,137.83, 189,267.71 and 76,711.83

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Solution

The fourth proportional to 137,137.83, 189,267.71 and 76,711.83 is: 105,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,137.83 : 189,267.71 = 76,711.83 : x
  2. Step 2: Convert to fraction form
    137,137.83/189,267.71 = 76,711.83/x
  3. Step 3: Cross multiply
    137,137.83x = 189,267.71 × 76,711.83
  4. Step 4: Simplify right side
    137,137.83x = 14,519,072,394.01
  5. Step 5: Solve for x
    x = 14,519,072,394.01/137,137.83
  6. Step 6: Final answer
    x = 105,872.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.